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This paper establishes a fundamental limit on the minimum measurable frequency shift in ideal lasers, challenging conventional wisdom by linking phase diffusion and shot noise to sensor performance across Mach-Zehnder interferometers, Fabry-Perot cavities, and heterodyning methods. By deriving an optimal value based on the geometric mean of measurement bandwidth and the Schawlow-Townes linewidth, it provides critical theoretical guidance for advancing high-precision quantum sensing applications.
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The General Quantum Limit for and the Optimization of the Minimum Measurable Frequency Shift in a Laser

arXiv2 min read

arXiv:2607.10518v2 Announce Type: replace Abstract: We show that, contrary to conventional understanding, the minimum measurable frequency shift (MMFS) for a single-mode ideal laser is determined by a combination of phase diffusion caused by SE and the shot noise caused by the VM. For all practical sensors, the MMFS is found to be given by the geometric mean of the measurement bandwidth and the Schwalow-Townes Linewidth, multiplied by a factor which can be much larger than unity under certain conditions. We determine the optimal value for the MMFS for three different sensing modalities, an unbalanced Mach-Zehnder Interferometer, a passive Fabry-Perot cavity (FPC), and heterodyning with a reference laser, and identify the conditions needed for reaching the optimal value.

Abstract:We show that, contrary to conventional understanding, the minimum measurable frequency shift (MMFS) for a single-mode ideal laser is determined by a combination of phase diffusion caused by SE and the shot noise caused by the VM. For all practical sensors, the MMFS is found to be given by the geometric mean of the measurement bandwidth and the Schwalow-Townes Linewidth, multiplied by a factor which can be much larger than unity under certain conditions. We determine the optimal value for the MMFS for three different sensing modalities, an unbalanced Mach-Zehnder Interferometer, a passive Fabry-Perot cavity (FPC), and heterodyning with a reference laser, and identify the conditions needed for reaching the optimal value.

arXiv:2607.10518 [quant-ph]

(or arXiv:2607.10518v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.10518 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 201 words

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